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Finding the Fourth Proportional to 5,870.92, 8,098.50 and 4,542.52

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Solution

The fourth proportional to 5,870.92, 8,098.50 and 4,542.52 is: 6,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.92 : 8,098.50 = 4,542.52 : x
  2. Step 2: Convert to fraction form
    5,870.92/8,098.50 = 4,542.52/x
  3. Step 3: Cross multiply
    5,870.92x = 8,098.50 × 4,542.52
  4. Step 4: Simplify right side
    5,870.92x = 36,787,598.22
  5. Step 5: Solve for x
    x = 36,787,598.22/5,870.92
  6. Step 6: Final answer
    x = 6,266.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.